Consider the fallowing population for the diameter of 36 rivet heads (in 1/100 of an inch) of ane kind in a production line, labeled in order as rivet 1, rivet 2, and so on, as follows (in order): 6.72 6.77 6.82 6.70 6.78 6.70 6.62 6.75 6.66 6.66 6.64 6.76 6.73 6.80 6.72 6.76 6.76 6.68 4 76 6 70 6 79 6 76 6. 67 670

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SITUATION 9
Consider the fallowing population for the diameter of 36 rivet
heads (in 1/100 of an inch) of ane kind in a production line,
labeled in arder as rivet 1, rivet 2, and so on, as follows (in order):
6.72
6.77
6.82
6.70
6.78
6.70
6.62
6.75
6.66
6.66
6.64
6.76
6.73
6.80
6.72
6.76
6.76
6.68
6.66
6.62
6.72
6.76
6.70
6.78
6.76
6.67
6.70
6.72
6.74
6.81
6.79
6.78
6.66
6.76
6.76
6.72
Five samples of rivet heads are to be picked in order to estimate
the mean diameter among the entire population.
(a) Construct a sampling distribution of sample mean for the
following five-sample combinations: 1-3-5-7-9, 2-4-6-8-10, 11-13-
15-17-19, 12-14-16-18-20, 21-23-25-27-29, 22-24-26-28-30, 31-
33-35-1-3, 32-34-36-2-4, 5-7-9-11-13, and 6-8-10-12-14.
(b) Determine the population mean diameter. Which of the five-
sample combinations from (a) has its sample mean closest to the
population mean?
Transcribed Image Text:SITUATION 9 Consider the fallowing population for the diameter of 36 rivet heads (in 1/100 of an inch) of ane kind in a production line, labeled in arder as rivet 1, rivet 2, and so on, as follows (in order): 6.72 6.77 6.82 6.70 6.78 6.70 6.62 6.75 6.66 6.66 6.64 6.76 6.73 6.80 6.72 6.76 6.76 6.68 6.66 6.62 6.72 6.76 6.70 6.78 6.76 6.67 6.70 6.72 6.74 6.81 6.79 6.78 6.66 6.76 6.76 6.72 Five samples of rivet heads are to be picked in order to estimate the mean diameter among the entire population. (a) Construct a sampling distribution of sample mean for the following five-sample combinations: 1-3-5-7-9, 2-4-6-8-10, 11-13- 15-17-19, 12-14-16-18-20, 21-23-25-27-29, 22-24-26-28-30, 31- 33-35-1-3, 32-34-36-2-4, 5-7-9-11-13, and 6-8-10-12-14. (b) Determine the population mean diameter. Which of the five- sample combinations from (a) has its sample mean closest to the population mean?
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